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Finite rank representations of a Gaussian Process

In this video Marcel Lüthi will give a explanation of the Karhunen-Loève expansion, using the example of a Gaussian Process model of 2D hand shapes.

In this video we will discuss an alternative representation of Gaussian Processes using the the Karhunen-Loève expansion (KL). We will provide a visual explanation of this expansion and discuss how we can obtain a finite-rank approximation of the Gaussian Process.

Thanks to this approximation we can obtain algorithms that can deal with shapes that are represented using millions of points. Furthermore, the representation gives us a simple and efficient means for computing the probability of any shape in the family.

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Statistical Shape Modelling: Computing the Human Anatomy

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